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Finding the Fourth Proportional to 15.06, 20.78 and 11.43

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Solution

The fourth proportional to 15.06, 20.78 and 11.43 is: 15.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.06 : 20.78 = 11.43 : x
  2. Step 2: Convert to fraction form
    15.06/20.78 = 11.43/x
  3. Step 3: Cross multiply
    15.06x = 20.78 × 11.43
  4. Step 4: Simplify right side
    15.06x = 237.46
  5. Step 5: Solve for x
    x = 237.46/15.06
  6. Step 6: Final answer
    x = 15.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.